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Finding the Fourth Proportional to 410,984.82, 616,527.05 and 144,690.84

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Solution

The fourth proportional to 410,984.82, 616,527.05 and 144,690.84 is: 217,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,984.82 : 616,527.05 = 144,690.84 : x
  2. Step 2: Convert to fraction form
    410,984.82/616,527.05 = 144,690.84/x
  3. Step 3: Cross multiply
    410,984.82x = 616,527.05 × 144,690.84
  4. Step 4: Simplify right side
    410,984.82x = 89,205,816,023.77
  5. Step 5: Solve for x
    x = 89,205,816,023.77/410,984.82
  6. Step 6: Final answer
    x = 217,053.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.